CAT · 1997 · Question 30 of 55

CAT 1997 QA Question 30 · Algebra - Functions & Graphs

Answer it first: the answer and the solution appear right after.

Questions on this set: Q28 Q29 Q30

Direction: Answer the questions based on the following information.

For these questions the following functions have been defined.

la(x, y, z) = min(x + y, y + z)

le(x, y, z) = max (x − y, y − z)

ma(x, y, z) = 12 [le(x, y, z) + la(x, y, z)]

Q30 Algebra - Functions & Graphs MULTIPLE CHOICE

For x = 15, y = 10 and z = 9 , find the value of le(x, min(y, x − z), le (9, 8, ma(x, y, z))).

Video explanation
→Let … and … , where … is the greatest integer not exceeding … . If set S represents all feasible values of ……CAT 2025 QA Slot 1 →Let … and … . Then, the domain of the function … is all real numbers exceptCAT 2025 QA Slot 2 →For real values of … , the range of the function … isCAT 2025 QA Slot 3 →For any natural number n, let a… be the largest integer not exceeding √n. Then the value of aCAT 2024 QA Slot 1